C47 Finding Normal Distribution

[cylurian]

Hi everyone,

Does anyone have documentation on finding the Normal Distribution on the C47? I know how to enter mu and sigma, but I'm trying to figure out how to find probabilities like p(2 < x < 6) when mu = 5 and sigma = 2. I see left tail and right tail buttons (Φ), but I’m unsure how to use them. Any suggestions would be appreciated.

Thanks!

[Thomas Klemm]

Assuming Φ to be: Standard normal cdf (lower).
Something like this?

Code:

01 XEQ 00
02 X<>Y
03 XEQ 00
04 -
05 RTN
06 LBL 00
07 RCL- "μ"
08 RCL÷ "s"
09 Φ
10 END

Example

5 STO "μ"
2 STO "s"

2 ENTER 6
R/S

0.624655

[cylurian]

Hello Thomas. I hope I don't have to create a program to run this. But I will try this. Thanks again.

[Thomas Klemm]

Here's another idea: use linear regression to transform the data.

Initialisation

CLΣ

5 ENTER
0
Σ+

5 ENTER 2 +
1
Σ+

Program

Code:

01 x̂
02 Φ
03 X<>Y
04 x̂
05 Φ
06 -
07 END

Example

2 ENTER 6
R/S

0.624655